Hansbo A, Hansbo P (2004) A finite element method for the simulation of strong and weak discontinuities in solid mechanics. Rabczuk T, Belytschko T (2005) Adaptivity for structured meshfree particle methods in 2D and 3D.
#Other words for split or crack crack#
Rabczuk T, Zi G, Gerstenberger A, Wall WA (2008) A new crack tip element for the phantom node method with arbitrary cohesive cracks. Ye Y, Shardool C, David NA, Thomas E, Stephen S, Dong Q (2011) Enriched spacetime finite element method: a new paradigm for multiscaling from elastodynamics to molecular dynamics. Song JH, Areias PMA, Belytschko T (2006) A method for dynamic crack and shear band propagation with phantom nodes. Qian D, Wagner GJ, Liu WK (2003) A multiscale projection method for the analysis of carbon nanotubes. Qian D, Gondhalekar RH (2004) A virtual atom cluster approach to the mechanics of nanostructures. Wagner GJ, Liu WK (2003) Coupling of atomistic and continuum simulations using a bridging scale decomposition. Park HS, Karpov EG, Liu WK, Klein PA (2005) The bridging scale for two-dimensional atomistic/continuum coupling. Comput Methods Appl Mech Eng 195(13–16):1407–1421įarrell DE, Park HS, Liu WK (2007) Implementation aspects of the bridging scale method and application to intersonic crack propagation. Liu WK, Park HS, Qian D, Karpov EG, Kadowaki H, Wagner GJ (2006) Bridging scale methods for nanomechanics and materials. Gracie R, Belytschko T (2011) Adaptive Continuum-Atomistic Simulations of Dislocation Dynamics. Gracie Robert, Belytschko Ted (2008) Concurrently coupled atomistic and XFEM models for dislocations and cracks. Guidault P-A, Belytschko T (2009) Bridging domain methods for coupled atomisticcontinuum models with \(L^2\) or \(H^1\) couplings. Guidault P-A, Belytschko T (2007) On the \(L^2\) and the \(H^1\) couplings for an overlapping domain decomposition method using Lagrange multipliers.
Int J Multiscale Comput Eng 1(1):115–126īelytschko Ted, Xiao SP (2004) A bridging domain method for coupling continua with molecular dynamics. submitted to PRL, December 10īelytschko T, Xiao SP (2003) Coupling methods for continuum model with molecular model. Sun Y, Peng Q, Lu G (2012) Hydrogen assisted cracking: a QCDFT study of Aluminum crack-tip. Proc Natl Acad Sci 73(6):1529–1563īeex LAA, Peerlings RHJ, Geers MGD (2011) A quasicontinuum methodology for multiscale analysis of discrete microstructural models. Tadmor EB, Ortiz M, Phillips R (1996) Quasicontinuum analysis of defects in solids. Nanomaterials by severe plastic deformation, pp. Van Swygenhoven H, Derlet PM, Hasnaoui A (2005) Atomistic modeling of strength of nanocrystalline metals. The results are compared to pure atomistic simulations they show excellent agreement. The method is implemented in two dimensions. The Lennard-Jones potential is used to model the atom–atom interactions. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. An energy criterion is used to detect the crack tip location. The fine scale region is adaptively enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened.
The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The coupling between the coarse scale and fine scale is realized through ghost atoms. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. Princeton's WordNet (0.This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth.
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